Such lovely work. I really feel for you mate, having had to repaint my Achilles 3 times now due to problems. This is not as easy to fix as my prob though.
Personally, I like the idea of having it covered. Say park it by a tree trunk that has had some branches cut off. Using some loading crew and by making a saw, you could make it look like the crew is standing on on the rear deck cutting off the branches. They then mound the branches behind them ready start camoing the vehicle. This would cover the melted parts, but would let you still show of the wonderful camo job already there. The branches would fit in with the green camo scheme too.
If trees aren't your thing, just have it as a completely stripped trunk. Mounding the branches on the back also means that it is easier to model them as the leaves would be more closely packed.
Other option is covering it with a large chunk of Masonary and rubble as said already. Give the impression of an Allied tank/gun shot that missed the vehicle but hit a wall close beside teh Jagd or something. If the Jagd is very close to the wall the large chunk could actually be resting on the deck and roof and leaning against the wall at the same time. Maybe do a squashed Grenadier or 2 to give the scene some definition.
If you do a vehicle inside the remains of a ruined building the rear area could be depicted as the open space of the ruin. It could be covered with some floor board sections and rubble remnants or even a piece of fallen carpet as camo for an ambush position. (A great source of carpet is coloured advertising brochures. Just cut it to size and then soak it in a little water and PVA. When soft just press it over the rubble underneath to get a roughly contoured shape. When it is dry just use pastel chalk as dust and add some rubble and stuff.)
Whatever way you go, just don't chuck it in the spares bin. Good Luck.